3 papers
math-ph2026
On Jean-Marie Souriau's geometric quantization of the relativistic electron
Géry de Saxcé
The aim of this paper is to revisit, in Souriau's book "Structure of Dynamical Systems", the chapter devoted to the geometric quantization where the justifications of important res…
math-ph2024
Which symmetry group for elementary particles with an electric charge today and in the past?
Géry de Saxcé
In this paper, we revisit the Kaluza-Klein theory from the perspective of the classification of elementary particles based on the coadjoint orbit method. We study the momentum map…
math.DS2023
Presentation of Jean-Marie Souriau's book ''Structure des systèmes dynamiques''
Géry de Saxcé, Charles-Michel Marle
Jean-Marie Souriau's book ''Structure des systèmes dynamiques'', published in 1970, republished recently by Gabay, translated in English and published under the title ''Structure o…